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13474888193 = 1329313114193
BaseRepresentation
bin11001000110010101…
…00111101000000001
31021210002101020121002
430203022213220001
5210044032410233
610105033341345
7654630442214
oct144312475001
937702336532
1013474888193
11579524aa38
122740867855
1313698a3a30
1491b86577b
1553cea96e8
hex3232a7a01

13474888193 has 16 divisors (see below), whose sum is σ = 15059904720. Its totient is φ = 11970975744.

The previous prime is 13474888183. The next prime is 13474888201. The reversal of 13474888193 is 39188847431.

It can be written as a sum of positive squares in 8 ways, for example, as 1420385344 + 12054502849 = 37688^2 + 109793^2 .

It is a de Polignac number, because none of the positive numbers 2k-13474888193 is a prime.

It is a super-2 number, since 2×134748881932 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13474888153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60905 + ... + 175097.

It is an arithmetic number, because the mean of its divisors is an integer number (941244045).

Almost surely, 213474888193 is an apocalyptic number.

13474888193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13474888193 is a deficient number, since it is larger than the sum of its proper divisors (1585016527).

13474888193 is a wasteful number, since it uses less digits than its factorization.

13474888193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114548.

The product of its digits is 4644864, while the sum is 56.

The spelling of 13474888193 in words is "thirteen billion, four hundred seventy-four million, eight hundred eighty-eight thousand, one hundred ninety-three".

Divisors: 1 13 29 313 377 4069 9077 114193 118001 1484509 3311597 35742409 43050761 464651317 1036529861 13474888193